TY - GEN
T1 - Stability and stabilization conditions for Takagi-Sugeno fuzzy model via polyhedral Lyapunov functions
AU - Esterhuizen, Willem
AU - Wang, Hua O.
AU - Tanaka, Kazuo
AU - Wang, Xiangzhou
PY - 2013
Y1 - 2013
N2 - Polyhedral Lyapunov functions (PLFs) are universal for establishing stability of Takagi-Sugeno (T-S) fuzzy models. In this paper, a stability theorem via PLFs is presented for T-S models, and it is shown that stability can be established via linear programming. Furthermore, nonconvex stabilization conditions are stated that, if satisfied, specify a parallel distributed compensation (PDC) controller as well as a PLF which proves stability of the closed loop system. An algorithm is presented as an initial step in working around the nonconvex stabilization conditions, and has shown to be useful in the computation of PDC controllers.
AB - Polyhedral Lyapunov functions (PLFs) are universal for establishing stability of Takagi-Sugeno (T-S) fuzzy models. In this paper, a stability theorem via PLFs is presented for T-S models, and it is shown that stability can be established via linear programming. Furthermore, nonconvex stabilization conditions are stated that, if satisfied, specify a parallel distributed compensation (PDC) controller as well as a PLF which proves stability of the closed loop system. An algorithm is presented as an initial step in working around the nonconvex stabilization conditions, and has shown to be useful in the computation of PDC controllers.
UR - https://www.scopus.com/pages/publications/84883493923
U2 - 10.1109/acc.2013.6580720
DO - 10.1109/acc.2013.6580720
M3 - Conference contribution
AN - SCOPUS:84883493923
SN - 9781479901777
T3 - Proceedings of the American Control Conference
SP - 5637
EP - 5642
BT - 2013 American Control Conference, ACC 2013
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 1st American Control Conference, ACC 2013
Y2 - 17 June 2013 through 19 June 2013
ER -